Neil, have you looked at "Farey-depth"? I.e., the number of mediant steps required to reach a particular rational? Or the number of steps needed to reach the earliest and latest k/N (as a function of N). Rich ________________________________________ From: math-fun-bounces@mailman.xmission.com [math-fun-bounces@mailman.xmission.com] On Behalf Of N. J. A. Sloane [njas@research.att.com] Sent: Friday, December 10, 2010 2:18 PM To: math-fun@mailman.xmission.com Subject: Re: [math-fun] Farey-ish fractions with weighted mediants I added the triangles of numerators and denominators of these fractions to the OEIS: see http://oeis.org/A177405 and A177407. The analogous entries for the classical Farey series are A006842 and A006843. Updates to the entries would be welcomed. Neil _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun